Polygons Classifying Triangles & Quadrilaterals Coordinate - PDF document

Slide 1 / 112 Slide 2 / 112 5th Grade Geometry 2015-11-23 www.njctl.org Slide 3 / 112 Slide 4 / 112 Geometry Unit Topics Click on the topic to go to that section Polygons · Polygons Classifying Triangles & Quadrilaterals · Coordinate Plane · First Quadrant · Click to return to the table of contents Slide 5 / 112 Slide 6 / 112 Polygons Shapes That Are Not Polygons Examples of polygons and figures that are not polygons This is not a polygon. The sides cross over. This is not a polygon. click to reveal It is open, not closed. click to reveal These are polygons These are not polygons This is not a polygon Not all sides are straight. click to reveal

Slide 7 / 112 Slide 8 / 112 Polygons A polygon is a simple, closed plane figure made up of 3 or more line segments. Simple - line segments do not intersect (remember, line segments are straight, not curved) Closed - When you trace the figure, it ends at the starting point. Plane figure - a two-dimensional (flat) shape Slide 9 / 112 Slide 10 / 112 1 Is this figure a polygon? 2 Is this figure a polygon? Yes Yes No No Slide 11 / 112 Slide 12 / 112 3 Is this figure a polygon? 4 Is this figure a polygon? Yes Yes No No

Slide 13 / 112 Slide 14 / 112 5 Is this figure a polygon? Polygons Yes Number Name of Sides No Polygons are named by Triangle 3 their number of sides. Quadrilateral 4 Pentagon 5 Hexagon 6 7 Heptagon Octagon 8 9 Nonagon Decagon 10 Slide 15 / 112 Slide 16 / 112 Polygons 6 How many sides does a heptagon have? Interesting fact: A polygon's number of sides and number of angles are always the same. 3 sides 10 sides 10 angles 3 angles Slide 17 / 112 Slide 18 / 112 7 How many angles does a nonagon have? 8 Name the figure. A Quadrilateral B Hexagon C Decagon D Octagon

Slide 19 / 112 Slide 20 / 112 Regular vs. Irregular Polygons 9 Name the figure. A Decagon If the figure's sides and angles are congruent, it is called a regular polygon. B Hexagon C Nonagon D Octagon Slide 21 / 112 Slide 22 / 112 Regular vs. Irregular Polygons If either the figure's sides or angles are not congruent, it is called an irregular polygon. Slide 23 / 112 Slide 24 / 112 10 What kind of polygon is this? 11 What kind of polygon is this? A regular A regular B irregular B irregular C not a polygon C not a polygon

Slide 25 / 112 Slide 26 / 112 12 What kind of polygon is this? 13 What kind of polygon is this? A regular A regular B irregular B irregular C not a polygon C not a polygon Slide 27 / 112 Slide 28 / 112 14 What kind of polygon is this? 15 What kind of polygon is this? A regular A regular B irregular B irregular C not a polygon C not a polygon Slide 29 / 112 Slide 30 / 112 Triangles Classifying Triangles- Triangles can be classified by their angles or their sides. By Sides Classifying Equilateral Triangle All sides are congruent. Triangles & Isosceles Triangle Match the picture to the definition At least two sides are Quadrilaterals congruent. Scalene Triangle No sides are congruent. Click to return to the table of contents

Slide 31 / 112 Slide 32 / 112 16 Classify the triangle by its sides 17 Classify the triangle by its sides A equilateral A equilateral B scalene B scalene C isosceles C isosceles Slide 33 / 112 Slide 34 / 112 Triangles 18 Classify the triangle by its angles Match the picture to the definition By Angles A acute Acute Triangle B obtuse All three angles are less C right than 90 degrees. Right Triangle One angle is 90 degrees. Obtuse Triangle One angle is more than 90 degrees. Slide 35 / 112 Slide 36 / 112 19 Classify the triangle by its angles 20 Classify the triangle by its angles A acute A acute B obtuse B obtuse C right C right

Slide 37 / 112 Slide 38 / 112 21 Classify the triangle. A equilateral B isosceles C scalene D acute E right Click to go to web site then F obtuse choose Triangle Sort. Remember: Classify by sides and angles (put in two answers) Slide 39 / 112 Slide 40 / 112 If each of the angles in a triangle measures 23 22 Classify the triangle. 60 º , what is the triangle? A equilateral A equilateral B isosceles B isosceles C scalene C scalene D acute D acute E right E right F obtuse F obtuse Remember: Classify by sides and Remember: Classify by sides and angles (put in two answers) angles (put in two answers) Slide 41 / 112 Slide 42 / 112 24 Classify the triangle. 25 Classify the triangle in the yield sign. A equilateral A equilateral B isosceles B isosceles C scalene C scalene D acute D acute E right E right F obtuse F obtuse Remember: Classify by sides and Remember: Classify by sides and angles (put in two answers) angles (put in two answers)

Slide 43 / 112 Slide 44 / 112 Quadrilaterals 26 Classify the triangle this bridge makes. A equilateral Classifying Quadrilaterals You must use the properties of quadrilaterals B isosceles to identify and classify them. C scalene Trapezoids - Exactly one pair of parallel sides. D acute E right F obtuse Remember: Classify by sides and angles (put in two answers) Slide 45 / 112 Slide 46 / 112 Quadrilaterals Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals Classifying Quadrilaterals to identify and classify them. You must use the properties of quadrilaterals Parallelogram - Opposite sides are congruent & parallel . to identify and classify them. Similar to triangles, quadrilaterals are classified by the relationships between their sides and angles. Rectangle - Special parallelogram with four right angles Interesting fact: The opposite angles of a parallelogram are also congruent. Slide 47 / 112 Slide 48 / 112 Quadrilaterals Quadrilaterals Classifying Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals You must use the properties of quadrilaterals to identify and classify them. to identify and classify them. Square - Rhombus with four right angles Rhombus - Parallelogram with four congruent sides or a Rectangle with four congruent sides . and opposite angles congruent

Slide 49 / 112 Slide 50 / 112 Match the shape with the description. Quadrilaterals Quadrilateral 4-sided polygon Parallelogram 4-sided polygon two pairs of // sides Trapezoid 4-sided polygon one pair of // sides Rhombus Rectangle 4-sided polygon 4-sided polygon two pairs of // sides two pairs of // sides all sides ~ = all angles ~ = Square 4-sided polygon two pairs of // sides all angles ~ = all sides ~ = Slide 51 / 112 Slide 52 / 112 Polygon Polygon Quadilateral Quadilateral Trapezoid Slide 53 / 112 Slide 54 / 112 Polygon Polygon Quadilateral Quadilateral Parallelogram Parallelogram Rectangle Trapezoid Trapezoid

Slide 55 / 112 Slide 56 / 112 Polygon Polygon Quadilateral Quadilateral Parallelogram Parallelogram Trapezoid Rectangle Trapezoid Rectangle Square Rhombus Rhombus Slide 57 / 112 Slide 58 / 112 Drag and drop the names to complete the diagram that shows the relationship among the figures listed. Each category will be used only once. rhombuses rectangles parallelograms quadrilaterals Click for web site and then choose polygon sort. From PARCC EOY sample test #13 Slide 59 / 112 Slide 60 / 112 27 Which of the following shapes is a 28 Which of statement(s) do NOT describe the trapezoid? figure? A trapezoid B A B parallelogram C rectangle D rhombus E square C D

Slide 61 / 112 Slide 62 / 112 29 Which of the statements does NOT describe the 30 Which of the statement(s) does NOT describe figure? the figure? A trapezoid A trapezoid B parallelogram B parallelogram C rectangle C rectangle D rhombus D rhombus E square E square Slide 63 / 112 Slide 64 / 112 31 Which of the following statements is true? 32 Which shape has exactly one pair of // sides? A A square is not a rectangle. A square B A rectangle is a square. B rhombus C A square is not a parallelogram. C triangle D A square is a rectangle. D trapezoid Slide 65 / 112 Slide 66 / 112 33 Which shape has two sets of congruent angles and 34 Describe the figure. Choose all adjacent sides congruent? answers that apply. A Quadrilateral A square B Trapezoid C Parallelogram B rectangle D Rectangle C rhombus E Rhombus F Square D kite G None of the Above

Slide 67 / 112 Slide 68 / 112 35 Describe the figure. Choose all 36 Describe the figure. Choose all answers that apply. answers that apply. A Quadrilateral B Trapezoid A Quadrilateral C Parallelogram B Trapezoid D Rectangle C Parallelogram E Rhombus D Rectangle F Square E Rhombus G None of the Above F Square G None of the Above Slide 69 / 112 Slide 70 / 112 37 Describe the figure. Choose all 38 Describe the shape of the top of the desk. answers that apply. Choose all answers that apply. A Quadrilateral A Quadrilateral B Trapezoid B Trapezoid C Parallelogram C Parallelogram D Rectangle D Rectangle E Rhombus E Rhombus F Square F Square G None of the Above G None of the Above Slide 71 / 112 Slide 72 / 112 39 Describe the shape for the face of the clock. 40 Describe the shape of the mouth of the shark. Choose all answers that apply. Choose all answers that apply. A Quadrilateral A Quadrilateral B Trapezoid B Trapezoid C Parallelogram C Parallelogram D Rectangle D Rectangle E Rhombus E Rhombus F Square F Square G None of the Above G None of the Above